Final answer:
To write the given quadratic equation in standard form, we rearrange the terms to have the equation equal to zero.
Step-by-step explanation:
A quadratic equation is a second-order polynomial equation in a single variable,
The given equation is: -2x² + 4x = 14
To write it in standard form, we rearrange the terms to have the quadratic equation equal to zero:
-2x² + 4x - 14 = 0
Now, the quadratic equation is in standard form: ax² + bx + c = 0.
Therefore, the quadratic equation in standard form is: -2x² + 4x - 14 = 0.